Extinction behavior of solutions for the p-Laplacian equations with nonlocal sources

被引：30

作者：

Fang, Zhong Bo ^{[1
]}

Xu, Xianghui ^{[1
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 04期

关键词：

p-Laplacian equation; Extinction; Non-extinction; Decay estimate; BLOW-UP; DIFFUSION-EQUATIONS;

D O I：

10.1016/j.nonrwa.2011.12.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the extinction, non-extinction and decay estimates of non-negative nontrivial weak solutions of the initial-boundary value problem for the p-Laplacian equation with nonlocal nonlinear source and interior linear absorption. We show that the critical exponent of extinction for the weak solution is determined by the competition of two nonlinear terms, and decay estimates depend on the choices of initial data, coefficients and domain. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1780 / 1789

页数：10

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